Also number of McDonald's in the world divided by number of McDonald's in US is close to pi. Within 1%.
Source?
Pi squared is nearly 10
41–50 of 55 posts
Re: Pi squared is nearly 10
#42The second fact, pi^2 ~= g, is famous enough that it has a separate section in Wikipedia [1]. [1] https://en.wikipedia.org/wiki/Mathematical_coincidence#Gravi...
I dislike most of the usual physical “coincidence” examples, because many of them are really the result of human choices: historical conventions, unit definitions, or the order in which things happened to be discovered. They can be explained, and at most there is some interesting scientific history behind them. They are not deep mysteries. The more interesting cases are different. They are unit-independent, or they c…
https://en.wikipedia.org/wiki/Proton-to-electron_mass_ratio says it is
1836.152673426(32)
So, it differs about 0.153 from its nearest integer. Over 30% of all reals are that close or closer to their nearest integer, so I wouldn’t call that extraordinary at all.For the fine structure constant, that’s about
1/137.035999177
Closer, but still not extraordinary. The math is different but I think it’s about a 1:15 chance that a random real will be relatively that close to the reciprocal of an integer.Re: Pi squared is nearly 10
#43Also number of McDonald's in the world divided by number of McDonald's in US is close to pi. Within 1%.
https://corporate.mcdonalds.com/content/dam/sites/corp/nfl/p...
However, in 2023, the numbers were 41822 / 13457 = 3.1078, which is (almost) within 1 % difference.
https://corporate.mcdonalds.com/content/dam/sites/corp/nfl/p...
Re: Pi squared is nearly 10
#44I like the 4-5-6 theorem: pi^4 + pi^5 = e^6 Well, to five decimal places, anyway. Some other good ones: e^pi - pi = 20 sqrt(2) ln pi = phi There are also famous "almost integers" such as this one discovered by Ramanujan: e^(pi sqrt(163)) Which is an integer to 12 decimal places. Edit: I just remembered I have public JupyterLite notebooks for both of these: https://notebooks.oranlooney.com/lab/index.html?path=fake_ma.…
Re: Pi squared is nearly 10
#45Also number of McDonald's in the world divided by number of McDonald's in US is close to pi. Within 1%.
Re: Pi squared is nearly 10
#46I like the 4-5-6 theorem: pi^4 + pi^5 = e^6 Well, to five decimal places, anyway. Some other good ones: e^pi - pi = 20 sqrt(2) ln pi = phi There are also famous "almost integers" such as this one discovered by Ramanujan: e^(pi sqrt(163)) Which is an integer to 12 decimal places. Edit: I just remembered I have public JupyterLite notebooks for both of these: https://notebooks.oranlooney.com/lab/index.html?path=fake_ma.…
Re: Pi squared is nearly 10
#47I like the 4-5-6 theorem: pi^4 + pi^5 = e^6 Well, to five decimal places, anyway. Some other good ones: e^pi - pi = 20 sqrt(2) ln pi = phi There are also famous "almost integers" such as this one discovered by Ramanujan: e^(pi sqrt(163)) Which is an integer to 12 decimal places. Edit: I just remembered I have public JupyterLite notebooks for both of these: https://notebooks.oranlooney.com/lab/index.html?path=fake_ma.…
> Which is an integer to 12 decimal places this isn't something I was expecting to read today. I guess this works with weak types? /s
Re: Pi squared is nearly 10
#48I like the 4-5-6 theorem: pi^4 + pi^5 = e^6 Well, to five decimal places, anyway. Some other good ones: e^pi - pi = 20 sqrt(2) ln pi = phi There are also famous "almost integers" such as this one discovered by Ramanujan: e^(pi sqrt(163)) Which is an integer to 12 decimal places. Edit: I just remembered I have public JupyterLite notebooks for both of these: https://notebooks.oranlooney.com/lab/index.html?path=fake_ma.…
the Ramanujan one has some relatively high powered mathematical explanation https://en.wikipedia.org/wiki/Heegner_number
Re: Pi squared is nearly 10
#49I was a little disappointed that the upper range of gravity on earth only goes to 9.8337. Just a little more and there would have been somewhere on earth that was an exact match. It would have been the ideal (if chilly) place to start a cult.
Re: Pi squared is nearly 10
#50Earlier quoted context omitted.
the Ramanujan one has some relatively high powered mathematical explanation https://en.wikipedia.org/wiki/Heegner_number
Wikipedia also notes that “Ramanjuan’s constant” was actually discovered by Charles Hermite in 1859 and it was a 1975 April Fools article in Scientific American that attributed it to Ramanujan.